Daily Practice · Higher Plus

Daily Practice - Higher Plus

6th April 1993

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Conditional Probability3 marks
A bag holds 9 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 0.5, 2, 3. Which class contains the median?
3
Surds3 marks
Expand and simplify (4 + sqrt(2))(4 - sqrt(2)).
4
Algebraic Fractions3 marks
Write 6/(x + 1) + 7/(x + 2) as a single fraction.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 21. Work out y when x = 16.

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